Maths-
General
Easy

Question

Determine whether the Product represents a rational number or an irrational number . Explain how you know without simplifying.
6 over 26 cross times fraction numerator square root of 2 over denominator 2 end fraction

The correct answer is: Use the properties of rational and irrational numbers.


    Complete step by step solution:
    Here one number is rational and the second number is irrational.
    So the product of a rational and irrational number is always irrational.
    Hence we can conclude that  6 over 26 cross times fraction numerator square root of 2 over denominator 2 end fraction is an irrational number.

    Related Questions to study

    General
    Maths-

    Determine whether the sum represents a rational number or an irrational number . Explain how you know without simplifying .
    6 over 23 minus fraction numerator square root of 2 over denominator 2 end fraction

    Determine whether the sum represents a rational number or an irrational number . Explain how you know without simplifying .
    6 over 23 minus fraction numerator square root of 2 over denominator 2 end fraction

    Maths-General
    General
    Maths-

    Order the numbers shown from the least to greatest ?
    square root of 1 fourth end root comma space 1 third comma space 0.1666

    Order the numbers shown from the least to greatest ?
    square root of 1 fourth end root comma space 1 third comma space 0.1666

    Maths-General
    General
    Maths-

    What is the simplified form of the rational expression fraction numerator x squared minus 36 over denominator x squared plus 3 x minus 18 end fraction ? What is its domain?

    What is the simplified form of the rational expression fraction numerator x squared minus 36 over denominator x squared plus 3 x minus 18 end fraction ? What is its domain?

    Maths-General
    parallel
    General
    Maths-

    Order the numbers shown from the least to greatest ?
    3.5 comma space 10 over 3 comma space square root of 14

    Order the numbers shown from the least to greatest ?
    3.5 comma space 10 over 3 comma space square root of 14

    Maths-General
    General
    Maths-

    Recognize the following numbers as real numbers , rational numbers , irrational numbers , integers ,whole numbers :
    10.5 comma space 4 over 7 comma space 6 comma 0 comma space square root of 2 comma space minus 29

    Recognize the following numbers as real numbers , rational numbers , irrational numbers , integers ,whole numbers :
    10.5 comma space 4 over 7 comma space 6 comma 0 comma space square root of 2 comma space minus 29

    Maths-General
    General
    Maths-

    Tell whether each statement is true , sometimes true or never
     true . Explain.
     1. A rational number is an integer
    2. An irrational number is an integer

    Tell whether each statement is true , sometimes true or never
     true . Explain.
     1. A rational number is an integer
    2. An irrational number is an integer

    Maths-General
    parallel
    General
    Maths-

    Identify each solution as rational or irrational :
    square root of 4.2 over 5

    Identify each solution as rational or irrational :
    square root of 4.2 over 5

    Maths-General
    General
    Maths-

    Identify each solution as rational or irrational :
    4 over 7 plus fraction numerator negative 1 over denominator 3 end fraction

    Identify each solution as rational or irrational :
    4 over 7 plus fraction numerator negative 1 over denominator 3 end fraction

    Maths-General
    General
    Maths-

    Order each set of numbers from least to greatest , 2 over 3 comma space 0 comma 6 comma space square root of 9 over 16 end root

    Order each set of numbers from least to greatest , 2 over 3 comma space 0 comma 6 comma space square root of 9 over 16 end root

    Maths-General
    parallel
    General
    Maths-

    Order each set of numbers from least to greatest,
    square root of 200 with _ below comma end root space 14 comma space 41 over 3

    Order each set of numbers from least to greatest,
    square root of 200 with _ below comma end root space 14 comma space 41 over 3

    Maths-General
    General
    Maths-

    Determine whether set B is a subset of set A?
    A= {2, 3, 5, 7, 11}
    B= { 3, 5, 7, 9, 11}

    Determine whether set B is a subset of set A?
    A= {2, 3, 5, 7, 11}
    B= { 3, 5, 7, 9, 11}

    Maths-General
    General
    Maths-

    Determine whether set B is a subset of set A?
    A = { 0, 1, 2, 3, 4}
    B= {1, 2}

    Determine whether set B is a subset of set A?
    A = { 0, 1, 2, 3, 4}
    B= {1, 2}

    Maths-General
    parallel
    General
    Maths-

    Which of the following rational expressions simplify to fraction numerator y over denominator y plus 3 end fraction? Select all that apply .

    Which of the following rational expressions simplify to fraction numerator y over denominator y plus 3 end fraction? Select all that apply .

    Maths-General
    General
    Maths-

    Why do you have to state the domain when simplifying rational expressions ?

    Why do you have to state the domain when simplifying rational expressions ?

    Maths-General
    General
    Maths-

    Find the product and the domain ?
    fraction numerator 2 straight x squared minus 10 straight x over denominator left parenthesis straight x minus 5 right parenthesis open parentheses straight x squared minus 1 close parentheses end fraction cross times 3 straight x squared plus 4 straight x plus 1

    Find the product and the domain ?
    fraction numerator 2 straight x squared minus 10 straight x over denominator left parenthesis straight x minus 5 right parenthesis open parentheses straight x squared minus 1 close parentheses end fraction cross times 3 straight x squared plus 4 straight x plus 1

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.